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- Angles made by lines.
- x°, 40°, 3x°, 4x
- Value of x.
Here the concept of question is regarding to lines and angles. We have given unknown angles and asked to find value of x given with unknown angles.
- We know that complete angles made by one full rotation is 360°.
Value of x is ,
So, value of x is 40°.
For more, Finding all angles :-
》x° = 40°
》3x° = 3 × 40° = 120°
》4x° = 4 × 40° = 160°
VERIFICATION:-
=》40° + 120° + 160° + 40° = 360°
=》360° = 360°
=》LHS = RHS
So, our answer 40° is correct answer.
Answered by
26
Explanation:
Given :
∠DOC=40°;∠AOB=4X;∠AOD=X and ∠BOC=3X
TO FIND :
Value of 'x'
From above figure:-
∠DOC=40°;∠AOB=4X;∠AOD=X and ∠BOC=3X
∠DOC+∠AOB+∠AOD+∠BOC=360°( one complete revolution of angle is 360°)
➠40°+4x+x+3x=360°
➠40°+8x=360°
➠8x=360°-40°
➠8x=320°
Let's finding angle :
➠∠DOC=X=40°
➠∠AOB=4X=4×40=160°
➠∠DOC=40°
➠∠BOC=3X=3×40=120°
Now ,adding all
➠∠AOB+∠AOD+∠DOC+∠BOC
➠160°+40°+40°+120°
➠200°+160°=360°
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